Teachers educate students from preschool to high school in specific subjects. While most teachers hold a bachelor's degree in education, many colleges offer teaching certification programs for those who already hold a bachelor's degree in another discipline. So always identify in which field you are interested and follow it.

I'm in a similar situation, although I have a 120 hour TEFL rather than a CELTA.It would be nice to "level up" my skills a bit but there doesn't seem to be a medium level. Most other teachers who are long in the game suggest university courses in English or Teaching (Masters+). For now I'm just making sure to read a lot and revise.